What is the Greatest Common Factor of 22470 and 22489?

Greatest common factor (GCF) of 22470 and 22489 is 1.

GCF(22470,22489) = 1

We will now calculate the prime factors of 22470 and 22489, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22470 and 22489.

How to find the GCF of 22470 and 22489?

We will first find the prime factorization of 22470 and 22489. After we will calculate the factors of 22470 and 22489 and find the biggest common factor number .

Step-1: Prime Factorization of 22470

Prime factors of 22470 are 2, 3, 5, 7, 107. Prime factorization of 22470 in exponential form is:

22470 = 2¹ × 3¹ × 5¹ × 7¹ × 107¹

Step-2: Prime Factorization of 22489

Prime factors of 22489 are 43, 523. Prime factorization of 22489 in exponential form is:

22489 = 43¹ × 523¹

Step-3: Factors of 22470

List of positive integer factors of 22470 that divides 22470 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 107, 210, 214, 321, 535, 642, 749, 1070, 1498, 1605, 2247, 3210, 3745, 4494, 7490, 11235

Step-4: Factors of 22489

List of positive integer factors of 22489 that divides 22470 without a remainder.

1, 43, 523

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22470 and 22489. The biggest common factor number is the GCF number.
So the greatest common factor 22470 and 22489 is 1.

Also check out the Least Common Multiple of 22470 and 22489